Both self-healable
conductors and stretchable conductors have been
previously reported. However, it is still difficult to simultaneously
achieve high stretchability, high conductivity, and self-healability.
Here, we observed an intriguing phenomenon, termed “electrical
self-boosting”, which enables reconstructing of electrically
percolative pathways in an ultrastretchable and self-healable nanocomposite
conductor (over 1700% strain). The autonomously reconstructed percolative
pathways were directly verified by using microcomputed tomography
and in situ scanning electron microscopy. The encapsulated
nanocomposite conductor shows exceptional conductivity (average value:
2578 S cm–1; highest value: 3086 S cm–1) at 3500% tensile strain by virtue of efficient strain energy dissipation
of the self-healing polymer and self-alignment and rearrangement of
silver flakes surrounded by spontaneously formed silver nanoparticles
and their self-assembly in the strained self-healing polymer matrix.
In addition, the conductor maintains high conductivity and stretchability
even after recovered from a complete cut. Besides, a design of double-layered
conductor enabled by the self-bonding assembly allowed a conducting
interface to be located on the neutral mechanical plane, showing extremely
durable operations in a cyclic stretching test. Finally, we successfully
demonstrated that electromyogram signals can be monitored by our self-healable
interconnects. Such information was transmitted to a prosthetic robot
to control various hand motions for robust interactive human-robot
interfaces.
The space of smooth rational curves of degree d in a projective variety X has compactifications by taking closures in the Hilbert scheme, the moduli space of stable sheaves or the moduli space of stable maps respectively. In this paper we compare these compactifications by explicit blow-ups and -downs when X is a projective homogeneous variety and d ≤ 3. Using the comparison result, we calculate the Betti numbers of the compactifications when X is a Grassmannian variety.
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